11 2 Volumeofof Prismsand and Cylinders Warm Up

11 -2 Volumeofof. Prismsand and. Cylinders Warm Up Lesson Presentation Lesson Quiz Holt. Mc. Dougal Geometry Holt

11 -2 Volume of Prisms and Cylinders Warm Up Find the area of each figure. Round to the nearest tenth. 1. an equilateral triangle with edge length 20 cm 173. 2 cm 2 2. a regular hexagon with edge length 14 m 509. 2 m 2 3. a circle with radius 6. 8 in. 145. 3 in 2 4. a circle with diameter 14 ft 153. 9 ft 2 Holt Mc. Dougal Geometry

11 -2 Volume of Prisms and Cylinders Objectives Learn and apply the formula for the volume & surface area of a prism. Learn and apply the formula for the volume & surface area of a cylinder. Holt Mc. Dougal Geometry

11 -2 Volume of Prisms and Cylinders Vocabulary Volume Holt Mc. Dougal Geometry Surface Area

11 -2 Volume of Prisms and Cylinders What is a Prism? • A prism is a three dimensional object with two parallel congruent bases and rectangular faces (sides). Holt Mc. Dougal Geometry

11 -2 Volume of Prisms and Cylinders What is a Cylinder? • A cylinder is a three dimensional object with two parallel congruent circular bases and one face. Holt Mc. Dougal Geometry

11 -2 Volume of Prisms and Cylinders Surface Area with base area B, height h, and base perimeter P is SA = Ph+2 B Holt Mc. Dougal Geometry

11 -2 Volume of Prisms and Cylinders Example 1 A: Finding Volumes of Prisms Find the volume & surface area of the prism. Round to the nearest tenth, if necessary. Volume of a right rectangular prism V = Bh = (13)(3)(5) Substitute (13)(3) for B, and 5 for h. = 195 cm 3 Holt Mc. Dougal Geometry

11 -2 Volume of Prisms and Cylinders Example 1 B: Finding Volumes of Prisms Find the volume & surface area of a cube with edge length 15 in. Round to the nearest tenth, if necessary. V = Bh Volume of a cube = (15)(15) Substitute (15) for B, 15 for h. = 3375 in 3 Holt Mc. Dougal Geometry

11 -2 Volume of Prisms and Cylinders Example 1 C: Finding Volumes of Prisms Find the volume & surface area of the right regular hexagonal prism. Round to the nearest tenth, if necessary. Holt Mc. Dougal Geometry

11 -2 Volume of Prisms and Cylinders Check It Out! Example 1 Find the volume & surface area of a triangular prism with a height of 9 yd whose base is a right triangle with legs 7 yd and 5 yd long. Volume of a triangular prism Holt Mc. Dougal Geometry

11 -2 Volume of Prisms and Cylinders Surface Area with base area B, height h, and base perimeter P is SA = Ph+2 B Holt Mc. Dougal Geometry

11 -2 Volume of Prisms and Cylinders Example: • Find the volume & surface area of the cylinder. Holt Mc. Dougal Geometry

11 -2 Volume of Prisms and Cylinders Classwork/Homework • 11. 2 #’s: 1 -4, 6 -8, 13 -15, 17, 18 Holt Mc. Dougal Geometry